Levels ofMn53with theCr52(He3,d)Mn53andCr52(Li7,He6)Mn53reactions

Abstract

The levels of $^{53}\mathrm{Mn}$ populated by the reactions $^{52}\mathrm{Cr}(^{3}\mathrm{He},d)^{53}\mathrm{Mn}$ at 24 MeV and $^{52}\mathrm{Cr}$($^{7}\mathrm{Li}$, $^{6}\mathrm{He}$)-$^{53}\mathrm{Mn}$ at 34 MeV were studied using The Florida State University quadrupole spectrometer. Angular distributions were taken from 5\ifmmode^\circ\else\textdegree\fi{} to 60\ifmmode^\circ\else\textdegree\fi{} for $^{52}\mathrm{Cr}(^{3}\mathrm{He},d)^{53}\mathrm{Mn}$, and from 1\ifmmode^\circ\else\textdegree\fi{} to 25\ifmmode^\circ\else\textdegree\fi{} for the $^{52}\mathrm{Cr}$($^{7}\mathrm{Li}$, $^{6}\mathrm{He}$)$^{53}\mathrm{Mn}$ reaction. Angular distributions show the expected $L$-dependent shapes which are well described by the distorted wave Born approximation. Relative spectroscopic factors are in excellent agreement with previous studies. The $J$-dependent shape of the ($^{7}\mathrm{Li}$, $^{6}\mathrm{He}$) angular distributions at forward angles is used to identify the 2.68 and 3.48 MeV levels as ${p}_{\frac{1}{2}}$, and the 4.07 and 4.43 MeV levels as ${p}_{\frac{3}{2}}$. Absolute spectroscopic factors for the two reactions are in very good agreement and are about 30% lower than the values of previous studies. Seventeen levels of $^{53}\mathrm{Mn}$ above 6 MeV are observed in one or both reactions. Angular distributions for eight levels are extracted for the ($^{3}\mathrm{He},d$) reaction, including the three isobaric analog levels at 6.97, 7.54, and 8.03 MeV. Several of the levels above 6 MeV exhibit angular distributions which might be interpreted as being for either $l=3$ or $l=4$ transferred. These levels are identified as $g$-wave final states on the basis of their strength and excitation energy. The spectroscopic factors for the unbound levels are derived by a technique of extrapolation of cross sections from the bound state analysis. The spectroscopic factors extracted for the isobaric analog levels are consistent with ($d,p$) results to the parent states, within the limitations of the analysis.NUCLEAR REACTIONS $^{52}\mathrm{Cr}(^{3}\mathrm{He},d)^{53}\mathrm{Mn}$, $E=24$ MeV; $^{52}\mathrm{Cr}$($^{7}\mathrm{Li}$, $^{6}\mathrm{He}$)$^{53}\mathrm{Mn}$, $E=34$ MeV; measured $\ensuremath{\sigma}(\ensuremath{\theta})$; DWBA analysis; $^{53}\mathrm{Mn}$ levels; deduced ${J}^{\ensuremath{\pi}}$ and spectroscopic factors; enriched targets.